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12256351380 = 22355721337107
BaseRepresentation
bin10110110101000100…
…10001010010010100
31011122011111011100000
423122202101102110
5200100111221010
65344104051300
7612503160600
oct133242212224
934564434300
1012256351380
11521a433219
122460763b30
1312042bc130
14843aac500
154bb00b7c0
hex2da891494

12256351380 has 864 divisors, whose sum is σ = 50068077696. Its totient is φ = 2492550144.

The previous prime is 12256351333. The next prime is 12256351381. The reversal of 12256351380 is 8315365221.

12256351380 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 63 + 513 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12256351381) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 114545287 + ... + 114545393.

It is an arithmetic number, because the mean of its divisors is an integer number (57949164).

Almost surely, 212256351380 is an apocalyptic number.

12256351380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12256351380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25034038848).

12256351380 is an abundant number, since it is smaller than the sum of its proper divisors (37811726316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12256351380 is a wasteful number, since it uses less digits than its factorization.

12256351380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12256351380 in words is "twelve billion, two hundred fifty-six million, three hundred fifty-one thousand, three hundred eighty".